Each person who applies for an assembly job at Robert’s Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution. Length of Time (in minutes) Number 1 up to 4 4 4 up to 7 8 7 up to 10 14 10 up to 13 9 13 up to 16 5 16 up to 19 2 What is the standard deviation (in minutes)? 17.00 6.01 3.89 8.78

Answer: i believe it’s A

Step-by-step explanation:

By ASA criteria, ΔQMP is congruent to ΔRNP.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a figure as shown in the image.

In ΔQMP and ΔRNP -

∠QPM = ∠NPR {Vertically opposite angles}

QM = NR {Given}

∠MQP = ∠NRP {Alternate interior angles}

So, by ASA criteria, ΔQMP is congruent to ΔRNP.

Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.

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Answer:

yes

Step-by-step explanation:

Answer:

is there something suggested?

Answer:

g(-1) is lesser than 0 while h(-1) is -3(-1) + 8 = 11 so g(-1) is lesser than h(-1)

g(1) is 5 while h(1) is -3(1) + 8 = 5 so g(1) is equal to h(1)

Step-by-step explanation:

The function g(x) is greater than zero when the value of x lies in between -3 and 5 and this can be determined by using the given graph.

Given :

The graph of the function g(x) is given.

The following steps can be used in order to determine the interval for g(x):

Step 1 - The value of g(x) means the value of y.

Step 2 - The value of g(x) is positive when the graph of g(x) is in the first or in the second quadrant.

Step 3 - So, according to the graph function g(x) is positive when the value of x is in between -3 and 5.

Therefore, the correct option is 3).

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Answer:

Yes.

Step-by-step explanation:

Because 12:8=12/8=3/2.

And 18:12=18/12=3/2.

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean     x = 31,5

Sample standard deviation   s₂  = 8,35

Sample size        n₂ = 11

Ti-84 Calculator

Sample mean     y = 46,2

Sample standard deviation   s₁  = 9,99

Sample size        n₁ = 12

t(s)  = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s)  = 12,9 / √(99,8/12) + (69,72/11)

t(s)  = 12,9 / √8,32 + 6,34

t(s)  = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis               H₀      y - x > 1,80

Altenative Hypothesis       Hₐ      y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c)   critical value for

t(c) α; n₁ +n₂-2            df = 12 +11 -2     df  = 21

If we choose  CI = 95 %    then  α = 5 %   α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

Answer:

x is -9 is an extraneous solution

Step-by-step explanation:

Given the expression

x/4 = x²/3(x+3)

We are to find the value of x

Cross multiply

3x(x+3) = 4x²

3x²+9x = 4x²

3x²-4x² = 9x

-x² = 9x

-x = 9

x = -9

Hence the value of x is -9 is an extraneous solution

Answer:

x = 2

DG = 4

Step-by-step explanation:

The thing to know about the incenter of a triangle, is that the segments to each side are equidistant. In other words, they are identical lengths.

This means that ED = FD = GD.

Which means:

DE = DF

x^2 = 20 - 8x

So we need to solve for X. I would solve this using factoring:

Subtract 20 from both sides.

x^2−20=−8x

Add 8x to both sides.

x^2−20+8x=0

Rearrange the polynomial to put it in standard form. Place the terms in order from highest to lowest power.

x^2+8x−20=0

Factor the left hand side by grouping. First, the left hand side needs to be rewritten as x^2+ax+bx−20. To find a and b, set up a system to be solved.

a+b=8 ab=1(−20)=−20

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −20.

(−1,20) (−2,10) (−4,5)

Calculate the sum for each pair.

−1+20=19

−2+10=8

−4+5=1

The solution is the pair that gives sum 8.

a=−2 b=10

Rewrite x^2+8x−20 as (x^2−2x)+(10x−20).

(x^2−2x)+(10x−20)

Factor out x in the first and 10 in the second group.

x(x−2)+10(x−2)

Factor out common term x−2 by using distributive property.

(x−2)(x+10)

To find equation solutions, solve x−2=0 and x+10=0.

x = 2

x = −10

In this case, X is equal to 2 as the solution -10 doesn't make much sense given the context of the problem.

To find DG we just need to plug the solution back into one of the equations and solve:

20 - 8x

20 - 8(2)

20 - 16 = 4

DG = 4

Answer:

x=2

Step-by-step explanation:

Answer:

It’s A

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Use equation for slopes: y1- y2/ x1_ x2=

-11-(-5)/-3-(-6)=3

Answer:

what is x?

Step-by-step explanation:

Answer:

I think you have not written the full question

The factors of the expression 42 - 12 are 2(21 - 6), 3(14 - 4), 6(7 - 2).

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, We have to factor 42 - 12.

Now, Factors of 12 are 1, 2, 3, 4, 6 and 12.

Factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.

Common factors of 12 and 42 are 2, 3 and 6.

So, 42 - 12.

= 2(21 - 6).

= 3(14 - 4).

= 6(7 - 2).

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The factored form of the expression 42 - 12 using the GCF is 6(7 - 2).

To factor the expression 42 - 12 using the greatest common factor (GCF), we need to find the largest number that divides both 42 and 12.

First, let's find the prime factorization of both numbers:

42 = 2 x 3 x 7

12 = 2 x 2 x 3

Now, let's find the common factors:

The common factors are 2 and 3.

Next, let's determine the GCF by multiplying the common factors:

GCF = 2 x 3 = 6

Finally, we can factor out the GCF from the expression:

42 - 12 = 6 x (7 - 2)

Therefore, the factored form of the expression 42 - 12 using the GCF is 6(7 - 2).

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Answer:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

Answer:

14+33x

Step-by-step explanation:

you have to break it up

4x(-3)+33x+26 MILTIPLY

-12+33x+26 CALCULATE

Solution is 14+33x

I HOPE THIS HELPS YOU

Answer:

1. biweekly

2. pay period

3. salary

4. semimonthly

5. wage

Answer:

biweekly- every two weeks

pay period- a time period in which income us earned

wage- a payment based on actual working time or actual production

salary- a payment based on time period

semimonthly- twice a month

Step-by-step explanation:

Answer:

$70

Step-by-step explanation:

Step-by-step explanation:

The length of a rectangle, l = 3 units

The breadth of a rectangle, b = 4 units

Nancy needs to increase both the length and the width of the rectangle by 2 units.

The area of a rectangle is given by

A = length(l) × breadth(b)

Here,

A = 3 × 4

= 12 unit²

If both length and width of the rectangle increase by 2 units,

New length = (4+2) = 6 units

New width = (3+2) = 5 units

New area = 6 × 5 = 30 unit²

Hence, new area becomes 30 unit².

9514 1404 393

Answer:

  84

Step-by-step explanation:

Assuming that "hoped for" and "expected" are the same number, The number Brianna has remaining is ...

  100(1 +20%)(1 -30%) = 100(1.2)(0.7) = 100(0.84) = 84

84 pumpkins were left.

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

Answer:

D

Step-by-step explanation:

Well, 1/3 is in between 0 and 1. Only D is in between 0 and 1.

Answer:

The answer is 6n - 8. if right, your welcome.

Answer:

2.5 hours

Step-by-step explanation:

The ratio - 300: 5 is the same as 60:1

150:x should equal 60:1

You divide 150 by 60 to get your answer

Answer:

2.5 hours

Step-by-step explanation:

Just divide 5 by 2 to get the same ratio! Hope this helps

Answer:

um D I really hope this helps

Step-by-step explanation:

: a p e x

Answer:

B) x = -2 or x = 3/5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5x² + 7x = 6

Step 2: Solve for x

Answer:

A''=(8,0)

B''=(12,-5)

C''=(16,-4)

D''=(17,3)

Step-by-step explanation:

Translations

The following points are given:

A=(2,3)

B=(6,-2)

C=(10,-1)

D=(11,6)

Two transformations will be applied:

T(x,y)->(x+12,y-8). It means: add 12 to x, subtract 8 to y

T(x,y)->(x-6,y+5). It means: subtract 6 to x, add 5 to y

Start with point A. First translation:

A'=(2+12,3-8)=(14,-5). Second translation:

A''(14-6,-5+5)=(8,0)

Now for point B. First translation:

B'=(6+12,-2-8)=(18,-10). Second translation:

B''(18-6,-10+5)=(12,-5)

Now for point C. First translation:

C'=(10+12,-1-8)=(22,-9). Second translation:

C''(22-6,-9+5)=(16,-4)

Finally for point D. First translation:

D'=(11+12,6-8)=(23,-2). Second translation:

D''(23-6,-2+5)=(17,3)

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

See attachment for triangle

The relationship between length x, length 24 and angle 30 is as follows:

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this question;

[tex]Adjacent = x[/tex]

[tex]Hypotenuse= 24[/tex]

[tex]\theta = 30[/tex]

Substitute these values in the above expression,

[tex]\cos(30) = \frac{x}{24}[/tex]

Multiply through by 24

[tex]24 * \cos(30) = \frac{x}{24} * 24[/tex]

[tex]24 * \cos(30) = x[/tex]

Reorder:

[tex]x = 24 * \cos(30)[/tex]

[tex]x = 24 * 0.8660[/tex]

[tex]x = 20.784[/tex]

[tex]x=21[/tex] --- approximated